Seven species of chirostyloid and galatheoid crustaceans, including three new species, are reported from the eastern Arabian Sea and Bay of Bengal, India, based on material from depths ranging from 32–1420 metres. Trapezionida samudrika sp. nov. appears close to T. munin (Komai, 2011), but is distinguished by the shape of the carapace and fourth thoracic sternite, the armature of the third maxilliped merus, the length and armature of the cheliped, and the armature of the ambulatory legs. Paramunida travancorica sp. nov. differs from its closest species P. bineeshi Macpherson, Chan, Kumar & Rodriguez-Flores, 2020, P. mozambica Cabezas, Macpherson & Machordom, 2010, and P. stichas Macpherson, 1993 in the morphology of the carapace and antennular and antennal peduncles. Munidopsis bhavasagara sp. nov. is similar to M. dentifalx Osawa, Lin & Chan, 2007, but distinguishable by the absence of a pair of elevated, short ridges on the epigastric carapace region and the proportionally shorter chelipeds and ambulatory legs. The present material of Munidopsis unguifera Alcock & Anderson, 1894 represents only the third record of the species in India and a detailed description and illustrations are provided to supplement the previous descriptions. The remaining three species, Eumunida multispina Komai, Chakraborty, Paramasivam & Gidda, 2019, Munidopsis scobina Alcock, 1894, and M. stylirostris Wood-Mason in Wood-Mason & Alcock, 1891, are recorded from additional localities within their known geographic regions.